A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Bandgap formation and multiple scattering in
photonic quasicrystals with Penrose lattice,” Phys. Rev. Lett. 94, 183903 (2005).

[Crossref]
[PubMed]

M. Notomi, H. Suzuki, T. Tamamura, and K. Edagawa, “Lasing action due to the two-dimensional
quasiperiodicity of photonic quasicrystals with a Penrose
lattice,” Phys. Rev. Lett. 92, 123906 (2004).

[Crossref]
[PubMed]

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal
quasiperiodic photonic crystals,” Phys. Rev.
B 68, 165106 (2003).

[Crossref]

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states
of Fibonacci quasicrystals,” Phys. Rev.
Lett. 90, 55501 (2003).

[Crossref]

X. Zhang, Z.-Q. Zhang, and C. T. Chan, “Absolute photonic band gaps in 12-fold
symmetric photonic quasicrystals,” Phys. Rev.
B 63, R081105 (2001).

[Crossref]

M. Bayndir, E. Cubukcu, I. Bulu, and E. Ozbay, “Photonic band-gap effect, localization, and
waveguiding in the two-dimensional Penroselattice,” Phys. Rev. B. 63R161104 (2001).

[Crossref]

A. A. Asatryan, S. Fabre, K. Busch, R. McPhedran, L. Botten, M. de Sterke, and N. A. Nicorovici, “Two-dimensional local density of states in
two-dimensional photonic crystals,” Opt.
Express 8, 191 (2001).

[Crossref]
[PubMed]

A. A. Asatryan, K. Busch, R. C. McPhedran, L. C. Botten, C. Martijn de Sterke, and N. A. Nicorovici, “Two-dimensional Green’s function and
local density of states in photonic crystals consisting of a finite number of
cylinders of infinite length,” Phys. Rev.
E 63, 46612 (2001).

[Crossref]

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, R. M. De La Rue, and P. Millar, “Two-dimensional Penrose-tiled photonic
quasicrystals: Diffraction of light and fractal density of
modes,” J. Mod. Opt. 47, 1771 (2000).

M. E. Zoorob, M. D. B. Charleton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold
symmetric quasicrystals,” Nature 404, 740743 (2000).

Y. S. Chan, C. T. Chan, and Z. Y. Liu, “Photonic band gaps in two dimensional
photonic quasicrystals,” Phys. Rev. Lett. 80, 956 (1998).

[Crossref]

F. Zolla, D. Felbacq, and B. Guizal, “A remarkable diffractive property of
photonic quasi-crystals,” Opt. Comm. 148, 6 (1998).

[Crossref]

N. A. Nicorovici, R. C. McPhedran, and L.C. Botten, “Photonic band gaps for arrays of perfectly
conducting cylinders,” Phys. Rev. E 52, 1135 (1995).

[Crossref]

D. Felbacq, G. Tayeb, and D. Maystre, “Scattering by a random set of parallel
cylinders,” J. Opt. Soc. Am. A 11, 2526 (1994).

[Crossref]

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci
dielectric multilayers,” Phys. Rev. Lett. 72, 633 (1994).

[Crossref]
[PubMed]

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, “Photonic dispersion relation in a
one-dimensional quasicrystal”, Phys. Rev.
B. 50, R4220 (1994).

[Crossref]

E. Yablonovitch, “Inhibited spontaneous emission in
solid-state physics and electronics,” Phys. Rev.
Lett. 58, 2059 (1987).

[Crossref]
[PubMed]

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, “Metallic phase with long-range orientational
order and no translation symmetry,” Phys. Rev.
Lett. 53, 1951 (1984).

[Crossref]

J. Korringa, “On the calculation of the energy of a Bloch
wave in a metal,” Physica 13, 392 (1947); W. Kohn and N. Rostoker, “Solution of the Schrödinger equation in periodic lattices with an application to metallic lithium,” Phys. Rev. 94, 1111 (1954).

[Crossref]

J. Korringa, “On the calculation of the energy of a Bloch
wave in a metal,” Physica 13, 392 (1947); W. Kohn and N. Rostoker, “Solution of the Schrödinger equation in periodic lattices with an application to metallic lithium,” Phys. Rev. 94, 1111 (1954).

[Crossref]

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, R. M. De La Rue, and P. Millar, “Two-dimensional Penrose-tiled photonic
quasicrystals: Diffraction of light and fractal density of
modes,” J. Mod. Opt. 47, 1771 (2000).

A. A. Asatryan, K. Busch, R. C. McPhedran, L. C. Botten, C. Martijn de Sterke, and N. A. Nicorovici, “Two-dimensional Green’s function and
local density of states in photonic crystals consisting of a finite number of
cylinders of infinite length,” Phys. Rev.
E 63, 46612 (2001).

[Crossref]

A. A. Asatryan, S. Fabre, K. Busch, R. McPhedran, L. Botten, M. de Sterke, and N. A. Nicorovici, “Two-dimensional local density of states in
two-dimensional photonic crystals,” Opt.
Express 8, 191 (2001).

[Crossref]
[PubMed]

N. W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart, and Winston, New York, 1976).

M. E. Zoorob, M. D. B. Charleton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold
symmetric quasicrystals,” Nature 404, 740743 (2000).

M. Bayndir, E. Cubukcu, I. Bulu, and E. Ozbay, “Photonic band-gap effect, localization, and
waveguiding in the two-dimensional Penroselattice,” Phys. Rev. B. 63R161104 (2001).

[Crossref]

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, “Metallic phase with long-range orientational
order and no translation symmetry,” Phys. Rev.
Lett. 53, 1951 (1984).

[Crossref]

A. A. Asatryan, K. Busch, R. C. McPhedran, L. C. Botten, C. Martijn de Sterke, and N. A. Nicorovici, “Two-dimensional Green’s function and
local density of states in photonic crystals consisting of a finite number of
cylinders of infinite length,” Phys. Rev.
E 63, 46612 (2001).

[Crossref]

N. A. Nicorovici, R. C. McPhedran, and L.C. Botten, “Photonic band gaps for arrays of perfectly
conducting cylinders,” Phys. Rev. E 52, 1135 (1995).

[Crossref]

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, R. M. De La Rue, and P. Millar, “Two-dimensional Penrose-tiled photonic
quasicrystals: Diffraction of light and fractal density of
modes,” J. Mod. Opt. 47, 1771 (2000).

M. Bayndir, E. Cubukcu, I. Bulu, and E. Ozbay, “Photonic band-gap effect, localization, and
waveguiding in the two-dimensional Penroselattice,” Phys. Rev. B. 63R161104 (2001).

[Crossref]

A. A. Asatryan, K. Busch, R. C. McPhedran, L. C. Botten, C. Martijn de Sterke, and N. A. Nicorovici, “Two-dimensional Green’s function and
local density of states in photonic crystals consisting of a finite number of
cylinders of infinite length,” Phys. Rev.
E 63, 46612 (2001).

[Crossref]

A. A. Asatryan, S. Fabre, K. Busch, R. McPhedran, L. Botten, M. de Sterke, and N. A. Nicorovici, “Two-dimensional local density of states in
two-dimensional photonic crystals,” Opt.
Express 8, 191 (2001).

[Crossref]
[PubMed]

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, “Metallic phase with long-range orientational
order and no translation symmetry,” Phys. Rev.
Lett. 53, 1951 (1984).

[Crossref]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Bandgap formation and multiple scattering in
photonic quasicrystals with Penrose lattice,” Phys. Rev. Lett. 94, 183903 (2005).

[Crossref]
[PubMed]

X. Zhang, Z.-Q. Zhang, and C. T. Chan, “Absolute photonic band gaps in 12-fold
symmetric photonic quasicrystals,” Phys. Rev.
B 63, R081105 (2001).

[Crossref]

Y. S. Chan, C. T. Chan, and Z. Y. Liu, “Photonic band gaps in two dimensional
photonic quasicrystals,” Phys. Rev. Lett. 80, 956 (1998).

[Crossref]

Y. S. Chan, C. T. Chan, and Z. Y. Liu, “Photonic band gaps in two dimensional
photonic quasicrystals,” Phys. Rev. Lett. 80, 956 (1998).

[Crossref]

M. E. Zoorob, M. D. B. Charleton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold
symmetric quasicrystals,” Nature 404, 740743 (2000).

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal
quasiperiodic photonic crystals,” Phys. Rev.
B 68, 165106 (2003).

[Crossref]

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states
of Fibonacci quasicrystals,” Phys. Rev.
Lett. 90, 55501 (2003).

[Crossref]

M. Bayndir, E. Cubukcu, I. Bulu, and E. Ozbay, “Photonic band-gap effect, localization, and
waveguiding in the two-dimensional Penroselattice,” Phys. Rev. B. 63R161104 (2001).

[Crossref]

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states
of Fibonacci quasicrystals,” Phys. Rev.
Lett. 90, 55501 (2003).

[Crossref]

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, R. M. De La Rue, and P. Millar, “Two-dimensional Penrose-tiled photonic
quasicrystals: Diffraction of light and fractal density of
modes,” J. Mod. Opt. 47, 1771 (2000).

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Bandgap formation and multiple scattering in
photonic quasicrystals with Penrose lattice,” Phys. Rev. Lett. 94, 183903 (2005).

[Crossref]
[PubMed]

M. Notomi, H. Suzuki, T. Tamamura, and K. Edagawa, “Lasing action due to the two-dimensional
quasiperiodicity of photonic quasicrystals with a Penrose
lattice,” Phys. Rev. Lett. 92, 123906 (2004).

[Crossref]
[PubMed]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Bandgap formation and multiple scattering in
photonic quasicrystals with Penrose lattice,” Phys. Rev. Lett. 94, 183903 (2005).

[Crossref]
[PubMed]

F. Zolla, D. Felbacq, and B. Guizal, “A remarkable diffractive property of
photonic quasi-crystals,” Opt. Comm. 148, 6 (1998).

[Crossref]

D. Felbacq, G. Tayeb, and D. Maystre, “Scattering by a random set of parallel
cylinders,” J. Opt. Soc. Am. A 11, 2526 (1994).

[Crossref]

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states
of Fibonacci quasicrystals,” Phys. Rev.
Lett. 90, 55501 (2003).

[Crossref]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Bandgap formation and multiple scattering in
photonic quasicrystals with Penrose lattice,” Phys. Rev. Lett. 94, 183903 (2005).

[Crossref]
[PubMed]

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci
dielectric multilayers,” Phys. Rev. Lett. 72, 633 (1994).

[Crossref]
[PubMed]

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, “Metallic phase with long-range orientational
order and no translation symmetry,” Phys. Rev.
Lett. 53, 1951 (1984).

[Crossref]

F. Zolla, D. Felbacq, and B. Guizal, “A remarkable diffractive property of
photonic quasi-crystals,” Opt. Comm. 148, 6 (1998).

[Crossref]

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, “Photonic dispersion relation in a
one-dimensional quasicrystal”, Phys. Rev.
B. 50, R4220 (1994).

[Crossref]

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal
quasiperiodic photonic crystals,” Phys. Rev.
B 68, 165106 (2003).

[Crossref]

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states
of Fibonacci quasicrystals,” Phys. Rev.
Lett. 90, 55501 (2003).

[Crossref]

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, R. M. De La Rue, and P. Millar, “Two-dimensional Penrose-tiled photonic
quasicrystals: Diffraction of light and fractal density of
modes,” J. Mod. Opt. 47, 1771 (2000).

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, “Photonic dispersion relation in a
one-dimensional quasicrystal”, Phys. Rev.
B. 50, R4220 (1994).

[Crossref]

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci
dielectric multilayers,” Phys. Rev. Lett. 72, 633 (1994).

[Crossref]
[PubMed]

J. Korringa, “On the calculation of the energy of a Bloch
wave in a metal,” Physica 13, 392 (1947); W. Kohn and N. Rostoker, “Solution of the Schrödinger equation in periodic lattices with an application to metallic lithium,” Phys. Rev. 94, 1111 (1954).

[Crossref]

J. Korringa, “On the calculation of the energy of a Bloch
wave in a metal,” Physica 13, 392 (1947); W. Kohn and N. Rostoker, “Solution of the Schrödinger equation in periodic lattices with an application to metallic lithium,” Phys. Rev. 94, 1111 (1954).

[Crossref]

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, R. M. De La Rue, and P. Millar, “Two-dimensional Penrose-tiled photonic
quasicrystals: Diffraction of light and fractal density of
modes,” J. Mod. Opt. 47, 1771 (2000).

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states
of Fibonacci quasicrystals,” Phys. Rev.
Lett. 90, 55501 (2003).

[Crossref]

Y. S. Chan, C. T. Chan, and Z. Y. Liu, “Photonic band gaps in two dimensional
photonic quasicrystals,” Phys. Rev. Lett. 80, 956 (1998).

[Crossref]

A. A. Asatryan, K. Busch, R. C. McPhedran, L. C. Botten, C. Martijn de Sterke, and N. A. Nicorovici, “Two-dimensional Green’s function and
local density of states in photonic crystals consisting of a finite number of
cylinders of infinite length,” Phys. Rev.
E 63, 46612 (2001).

[Crossref]

A. A. Asatryan, K. Busch, R. C. McPhedran, L. C. Botten, C. Martijn de Sterke, and N. A. Nicorovici, “Two-dimensional Green’s function and
local density of states in photonic crystals consisting of a finite number of
cylinders of infinite length,” Phys. Rev.
E 63, 46612 (2001).

[Crossref]

N. A. Nicorovici, R. C. McPhedran, and L.C. Botten, “Photonic band gaps for arrays of perfectly
conducting cylinders,” Phys. Rev. E 52, 1135 (1995).

[Crossref]

N. W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart, and Winston, New York, 1976).

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, R. M. De La Rue, and P. Millar, “Two-dimensional Penrose-tiled photonic
quasicrystals: Diffraction of light and fractal density of
modes,” J. Mod. Opt. 47, 1771 (2000).

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, “Photonic dispersion relation in a
one-dimensional quasicrystal”, Phys. Rev.
B. 50, R4220 (1994).

[Crossref]

M. E. Zoorob, M. D. B. Charleton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold
symmetric quasicrystals,” Nature 404, 740743 (2000).

A. A. Asatryan, K. Busch, R. C. McPhedran, L. C. Botten, C. Martijn de Sterke, and N. A. Nicorovici, “Two-dimensional Green’s function and
local density of states in photonic crystals consisting of a finite number of
cylinders of infinite length,” Phys. Rev.
E 63, 46612 (2001).

[Crossref]

A. A. Asatryan, S. Fabre, K. Busch, R. McPhedran, L. Botten, M. de Sterke, and N. A. Nicorovici, “Two-dimensional local density of states in
two-dimensional photonic crystals,” Opt.
Express 8, 191 (2001).

[Crossref]
[PubMed]

N. A. Nicorovici, R. C. McPhedran, and L.C. Botten, “Photonic band gaps for arrays of perfectly
conducting cylinders,” Phys. Rev. E 52, 1135 (1995).

[Crossref]

M. Notomi, H. Suzuki, T. Tamamura, and K. Edagawa, “Lasing action due to the two-dimensional
quasiperiodicity of photonic quasicrystals with a Penrose
lattice,” Phys. Rev. Lett. 92, 123906 (2004).

[Crossref]
[PubMed]

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states
of Fibonacci quasicrystals,” Phys. Rev.
Lett. 90, 55501 (2003).

[Crossref]

M. Bayndir, E. Cubukcu, I. Bulu, and E. Ozbay, “Photonic band-gap effect, localization, and
waveguiding in the two-dimensional Penroselattice,” Phys. Rev. B. 63R161104 (2001).

[Crossref]

M. E. Zoorob, M. D. B. Charleton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold
symmetric quasicrystals,” Nature 404, 740743 (2000).

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states
of Fibonacci quasicrystals,” Phys. Rev.
Lett. 90, 55501 (2003).

[Crossref]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Bandgap formation and multiple scattering in
photonic quasicrystals with Penrose lattice,” Phys. Rev. Lett. 94, 183903 (2005).

[Crossref]
[PubMed]

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states
of Fibonacci quasicrystals,” Phys. Rev.
Lett. 90, 55501 (2003).

[Crossref]

J. Korringa, “On the calculation of the energy of a Bloch
wave in a metal,” Physica 13, 392 (1947); W. Kohn and N. Rostoker, “Solution of the Schrödinger equation in periodic lattices with an application to metallic lithium,” Phys. Rev. 94, 1111 (1954).

[Crossref]

M. Senechal, Quasicrystals and geometry (Cambridge University Press, Cambridge, 1995)

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, “Metallic phase with long-range orientational
order and no translation symmetry,” Phys. Rev.
Lett. 53, 1951 (1984).

[Crossref]

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci
dielectric multilayers,” Phys. Rev. Lett. 72, 633 (1994).

[Crossref]
[PubMed]

M. Notomi, H. Suzuki, T. Tamamura, and K. Edagawa, “Lasing action due to the two-dimensional
quasiperiodicity of photonic quasicrystals with a Penrose
lattice,” Phys. Rev. Lett. 92, 123906 (2004).

[Crossref]
[PubMed]

M. Notomi, H. Suzuki, T. Tamamura, and K. Edagawa, “Lasing action due to the two-dimensional
quasiperiodicity of photonic quasicrystals with a Penrose
lattice,” Phys. Rev. Lett. 92, 123906 (2004).

[Crossref]
[PubMed]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Bandgap formation and multiple scattering in
photonic quasicrystals with Penrose lattice,” Phys. Rev. Lett. 94, 183903 (2005).

[Crossref]
[PubMed]

D. Felbacq, G. Tayeb, and D. Maystre, “Scattering by a random set of parallel
cylinders,” J. Opt. Soc. Am. A 11, 2526 (1994).

[Crossref]

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci
dielectric multilayers,” Phys. Rev. Lett. 72, 633 (1994).

[Crossref]
[PubMed]

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, “Photonic dispersion relation in a
one-dimensional quasicrystal”, Phys. Rev.
B. 50, R4220 (1994).

[Crossref]

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal
quasiperiodic photonic crystals,” Phys. Rev.
B 68, 165106 (2003).

[Crossref]

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states
of Fibonacci quasicrystals,” Phys. Rev.
Lett. 90, 55501 (2003).

[Crossref]

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal
quasiperiodic photonic crystals,” Phys. Rev.
B 68, 165106 (2003).

[Crossref]

E. Yablonovitch, “Inhibited spontaneous emission in
solid-state physics and electronics,” Phys. Rev.
Lett. 58, 2059 (1987).

[Crossref]
[PubMed]

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal
quasiperiodic photonic crystals,” Phys. Rev.
B 68, 165106 (2003).

[Crossref]

X. Zhang, Z.-Q. Zhang, and C. T. Chan, “Absolute photonic band gaps in 12-fold
symmetric photonic quasicrystals,” Phys. Rev.
B 63, R081105 (2001).

[Crossref]

X. Zhang, Z.-Q. Zhang, and C. T. Chan, “Absolute photonic band gaps in 12-fold
symmetric photonic quasicrystals,” Phys. Rev.
B 63, R081105 (2001).

[Crossref]

F. Zolla, D. Felbacq, and B. Guizal, “A remarkable diffractive property of
photonic quasi-crystals,” Opt. Comm. 148, 6 (1998).

[Crossref]

M. E. Zoorob, M. D. B. Charleton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold
symmetric quasicrystals,” Nature 404, 740743 (2000).

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, R. M. De La Rue, and P. Millar, “Two-dimensional Penrose-tiled photonic
quasicrystals: Diffraction of light and fractal density of
modes,” J. Mod. Opt. 47, 1771 (2000).

M. E. Zoorob, M. D. B. Charleton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold
symmetric quasicrystals,” Nature 404, 740743 (2000).

F. Zolla, D. Felbacq, and B. Guizal, “A remarkable diffractive property of
photonic quasi-crystals,” Opt. Comm. 148, 6 (1998).

[Crossref]

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal
quasiperiodic photonic crystals,” Phys. Rev.
B 68, 165106 (2003).

[Crossref]

X. Zhang, Z.-Q. Zhang, and C. T. Chan, “Absolute photonic band gaps in 12-fold
symmetric photonic quasicrystals,” Phys. Rev.
B 63, R081105 (2001).

[Crossref]

M. Bayndir, E. Cubukcu, I. Bulu, and E. Ozbay, “Photonic band-gap effect, localization, and
waveguiding in the two-dimensional Penroselattice,” Phys. Rev. B. 63R161104 (2001).

[Crossref]

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, “Photonic dispersion relation in a
one-dimensional quasicrystal”, Phys. Rev.
B. 50, R4220 (1994).

[Crossref]

A. A. Asatryan, K. Busch, R. C. McPhedran, L. C. Botten, C. Martijn de Sterke, and N. A. Nicorovici, “Two-dimensional Green’s function and
local density of states in photonic crystals consisting of a finite number of
cylinders of infinite length,” Phys. Rev.
E 63, 46612 (2001).

[Crossref]

N. A. Nicorovici, R. C. McPhedran, and L.C. Botten, “Photonic band gaps for arrays of perfectly
conducting cylinders,” Phys. Rev. E 52, 1135 (1995).

[Crossref]

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states
of Fibonacci quasicrystals,” Phys. Rev.
Lett. 90, 55501 (2003).

[Crossref]

Y. S. Chan, C. T. Chan, and Z. Y. Liu, “Photonic band gaps in two dimensional
photonic quasicrystals,” Phys. Rev. Lett. 80, 956 (1998).

[Crossref]

E. Yablonovitch, “Inhibited spontaneous emission in
solid-state physics and electronics,” Phys. Rev.
Lett. 58, 2059 (1987).

[Crossref]
[PubMed]

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, “Metallic phase with long-range orientational
order and no translation symmetry,” Phys. Rev.
Lett. 53, 1951 (1984).

[Crossref]

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci
dielectric multilayers,” Phys. Rev. Lett. 72, 633 (1994).

[Crossref]
[PubMed]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Bandgap formation and multiple scattering in
photonic quasicrystals with Penrose lattice,” Phys. Rev. Lett. 94, 183903 (2005).

[Crossref]
[PubMed]

M. Notomi, H. Suzuki, T. Tamamura, and K. Edagawa, “Lasing action due to the two-dimensional
quasiperiodicity of photonic quasicrystals with a Penrose
lattice,” Phys. Rev. Lett. 92, 123906 (2004).

[Crossref]
[PubMed]

J. Korringa, “On the calculation of the energy of a Bloch
wave in a metal,” Physica 13, 392 (1947); W. Kohn and N. Rostoker, “Solution of the Schrödinger equation in periodic lattices with an application to metallic lithium,” Phys. Rev. 94, 1111 (1954).

[Crossref]

M. Senechal, Quasicrystals and geometry (Cambridge University Press, Cambridge, 1995)

N. W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart, and Winston, New York, 1976).